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ladessa [460]
3 years ago
11

Find value of x and y

Mathematics
1 answer:
marshall27 [118]3 years ago
8 0

Answer:

x = 17\sqrt{3}, y = 34

Step-by-step explanation:

Since the triangle is right use trig ratios to find x and y

note exact values sin30° = \frac{1}{2}, tan30° = \frac{1}{\sqrt{3} }

sin30° = \frac{opposite}{hypotenuse} = \frac{17}{y}

multiply both sides by y

y sin30° = 17 ( divide both sides by sin30° )

y = \frac{17}{\frac{1}{2} } = 34

tan30° = \frac{opposite}{adjacent} = \frac{17}{x}

multiply both sides by x

x tan30° = 17 ( divide both sides by tan30° )

x = \frac{17}{\frac{1}{\sqrt{3} } } = 17\sqrt{3}

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Hi, I'm happy to help!

To solve this, we need to find the distance from the origin to the y coordinate value, x coordinate value, then use the Pythagorean Theorem.

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I hope this was helpful, keep learning! :D

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